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Finding the Fourth Proportional to 82,770, 124,232.70 and 43,355.40

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Solution

The fourth proportional to 82,770, 124,232.70 and 43,355.40 is: 65,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770 : 124,232.70 = 43,355.40 : x
  2. Step 2: Convert to fraction form
    82,770/124,232.70 = 43,355.40/x
  3. Step 3: Cross multiply
    82,770x = 124,232.70 × 43,355.40
  4. Step 4: Simplify right side
    82,770x = 5,386,158,401.58
  5. Step 5: Solve for x
    x = 5,386,158,401.58/82,770
  6. Step 6: Final answer
    x = 65,073.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.